$\sqrt{961}+66.67\%\text{of}450=?+20\%\text{of}250$

What will come in the place of question (?) mark in following the question:

The correct option is 281.

To find the value that comes in place of the question mark (?), we solve the given equation step-by-step.

The given equation is:

$\sqrt{961}+66.67\%\text{of}450=?+20\%\text{of}250$

Step 1: Calculate the square root of 961.

Since 31 ² = 961, we have:

$\sqrt{961}=31$

Step 2: Calculate 66.67% of 450.

66.67% is equivalent to the fraction ²/₃.

$66.67\%\text{of}450=\frac{2}{3}\times 450=2\times 150=300$

Step 3: Calculate 20% of 250.

20% is equivalent to the fraction ¹/₅.

$20\%\text{of}250=\frac{1}{5}\times 250=50$

Step 4: Substitute the evaluated values back into the equation.

$31+300=?+50$

$331=?+50$

Step 5: Solve for the question mark (?).

$?=331-50$

$?=281$

Thus, the value that comes in place of the question mark is 281.